Question

simplify the expression.\\(
\frac{4}{9}z - \frac{3}{9}z + 5 - \frac{5}{9}z - 8\\)\\(
\frac{4}{9}z - \frac{3}{9}z + 5 - \frac{5}{9}z - 8 = \square\\)\\(\text{(simplify your answer use integers or fractions for any numbers in the expression )}\\)

Explanation:

Step1: Combine like terms for z

We have the terms with \( z \): \( \frac{4}{9}z - \frac{3}{9}z - \frac{5}{9}z \). Let's add their coefficients: \( \frac{4 - 3 - 5}{9}z \). Calculating the numerator: \( 4 - 3 - 5 = -4 \), so this becomes \( \frac{-4}{9}z \).

Step2: Combine constant terms

The constant terms are \( 5 - 8 \), which equals \( -3 \).

Step3: Combine the results

Now we combine the results from Step1 and Step2: \( \frac{-4}{9}z - 3 \).

Answer:

\( -\frac{4}{9}z - 3 \)